𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Critical points of lipschitz functions on smooth manifolds

✍ Scribed by A. Ya. Zaslavskii

Publisher
SP MAIK Nauka/Interperiodica
Year
1981
Tongue
English
Weight
492 KB
Volume
22
Category
Article
ISSN
0037-4466

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Critical points of functions on singular
Critical points of functions on singular spaces
✍ David B. Massey πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 369 KB

We compare and contrast various notions of the "critical locus" of a complex analytic function on a singular space. After choosing a topological variant as our primary notion of the critical locus, we justify our choice by generalizing LΓͺ and Saito's result that constant Milnor number implies that T

Two-point functions on Riemannian manifo
Two-point functions on Riemannian manifolds
✍ OldΕ™ich Kowalski; Lieven Vanhecke πŸ“‚ Article πŸ“… 1985 πŸ› Springer 🌐 English βš– 692 KB

We give elements of a general theory of local two-point functions on Riemannian manifolds. Some classical and also recent results in Riemannian geometry are reproved in a unified form. Let (M,g) be a smooth Riemannian manifold of dimension n > 2. By a two-point function on M we shall mean a smooth

Dini derivative and a characterization f
Dini derivative and a characterization for Lipschitz and convex functions on Riemannian manifolds
✍ O.P. Ferreira πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 263 KB

Dini derivatives in Riemannian manifold settings are studied in this paper. In addition, a characterization for Lipschitz and convex functions defined on Riemannian manifolds and sufficient optimality conditions for constraint optimization problems in terms of the Dini derivative are given.